| Contents |
| We study the problem
$$-\Delta_g u+h(x) u=u^p, \ u>0,\ in \ (M,g)$$
where $(M,g)$ is a$n-$dimensional Riemannian manifold without boundary and $p>1.$
We present some recent results about existence of solutions concentrating along $k-$dimensional minimal submanifolds of $M$ for any integer $k$
between 0 and $n-1$, provided the exponent $p$ is close the $(k+1)-$st critical exponent. |
|